Performance Analysis of Mixed Nakagami- <named-content content-type="math" xlink:type="simple"> <inline-formula> <tex-math notation="TeX">$m$</tex-math></inline-formula></named-content> and Gamma–Gamma Dual-Hop FSO Transmission Systems
In this paper, we carry out a unified performance analysis of a dual-hop relay system over the asymmetric links composed of both radio-frequency (RF) and unified free-space optical (FSO) links under the effect of pointing errors. Both fixed and variable gain relay systems are studied. The RF link is...
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| Format: | Article |
| Language: | English |
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IEEE
2015-01-01
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| Series: | IEEE Photonics Journal |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/6987241/ |
| _version_ | 1818417324565200896 |
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| author | Emna Zedini Imran Shafique Ansari Mohamed-Slim Alouini |
| author_facet | Emna Zedini Imran Shafique Ansari Mohamed-Slim Alouini |
| author_sort | Emna Zedini |
| collection | DOAJ |
| description | In this paper, we carry out a unified performance analysis of a dual-hop relay system over the asymmetric links composed of both radio-frequency (RF) and unified free-space optical (FSO) links under the effect of pointing errors. Both fixed and variable gain relay systems are studied. The RF link is modeled by the Nakagami-m fading channel and the FSO link by the Gamma-Gamma fading channel subject to both types of detection techniques (i.e., heterodyne detection and intensity modulation with direct detection). In particular, we derive new unified closed-form expressions for the cumulative distribution function, the probability density function, the moment generating function (MGF), and the moments of the end-to-end signal-to-noise ratio (SNR) of these systems in terms of the Meijer's G function. Based on these formulas, we offer exact closed-form expressions for the outage probability (OP), the higher order amount of fading, and the average bit error rate (BER) of a variety of binary modulations in terms of the Meijer's G function. Furthermore, an exact closed-form expression of the end-to-end ergodic capacity is derived in terms of the bivariate G function. Additionally, by using the asymptotic expansion of the Meijer's G function at the high-SNR regime, we derive new asymptotic results for the OP, the MGF, and the average BER in terms of simple elementary functions. |
| first_indexed | 2024-12-14T12:04:58Z |
| format | Article |
| id | doaj.art-b74fe78a5b724026a03f89cc9ca73adb |
| institution | Directory Open Access Journal |
| issn | 1943-0655 |
| language | English |
| last_indexed | 2024-12-14T12:04:58Z |
| publishDate | 2015-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Photonics Journal |
| spelling | doaj.art-b74fe78a5b724026a03f89cc9ca73adb2022-12-21T23:01:54ZengIEEEIEEE Photonics Journal1943-06552015-01-017112010.1109/JPHOT.2014.23816576987241Performance Analysis of Mixed Nakagami- <named-content content-type="math" xlink:type="simple"> <inline-formula> <tex-math notation="TeX">$m$</tex-math></inline-formula></named-content> and Gamma–Gamma Dual-Hop FSO Transmission SystemsEmna Zedini0Imran Shafique Ansari1Mohamed-Slim Alouini2Comput., Electr., & Math. Sci. & Eng. Div., King Abdullah Univ. of Sci. & Technol., Thuwal, Saudi ArabiaComput., Electr., & Math. Sci. & Eng. Div., King Abdullah Univ. of Sci. & Technol., Thuwal, Saudi ArabiaComput., Electr., & Math. Sci. & Eng. Div., King Abdullah Univ. of Sci. & Technol., Thuwal, Saudi ArabiaIn this paper, we carry out a unified performance analysis of a dual-hop relay system over the asymmetric links composed of both radio-frequency (RF) and unified free-space optical (FSO) links under the effect of pointing errors. Both fixed and variable gain relay systems are studied. The RF link is modeled by the Nakagami-m fading channel and the FSO link by the Gamma-Gamma fading channel subject to both types of detection techniques (i.e., heterodyne detection and intensity modulation with direct detection). In particular, we derive new unified closed-form expressions for the cumulative distribution function, the probability density function, the moment generating function (MGF), and the moments of the end-to-end signal-to-noise ratio (SNR) of these systems in terms of the Meijer's G function. Based on these formulas, we offer exact closed-form expressions for the outage probability (OP), the higher order amount of fading, and the average bit error rate (BER) of a variety of binary modulations in terms of the Meijer's G function. Furthermore, an exact closed-form expression of the end-to-end ergodic capacity is derived in terms of the bivariate G function. Additionally, by using the asymptotic expansion of the Meijer's G function at the high-SNR regime, we derive new asymptotic results for the OP, the MGF, and the average BER in terms of simple elementary functions.https://ieeexplore.ieee.org/document/6987241/Free-space optics (FSO)mixed RF/FSO systemsNakagami-m fadingatmospheric turbulencepointing errorsoutage probability (OP) |
| spellingShingle | Emna Zedini Imran Shafique Ansari Mohamed-Slim Alouini Performance Analysis of Mixed Nakagami- <named-content content-type="math" xlink:type="simple"> <inline-formula> <tex-math notation="TeX">$m$</tex-math></inline-formula></named-content> and Gamma–Gamma Dual-Hop FSO Transmission Systems IEEE Photonics Journal Free-space optics (FSO) mixed RF/FSO systems Nakagami-m fading atmospheric turbulence pointing errors outage probability (OP) |
| title | Performance Analysis of Mixed Nakagami- <named-content content-type="math" xlink:type="simple"> <inline-formula> <tex-math notation="TeX">$m$</tex-math></inline-formula></named-content> and Gamma–Gamma Dual-Hop FSO Transmission Systems |
| title_full | Performance Analysis of Mixed Nakagami- <named-content content-type="math" xlink:type="simple"> <inline-formula> <tex-math notation="TeX">$m$</tex-math></inline-formula></named-content> and Gamma–Gamma Dual-Hop FSO Transmission Systems |
| title_fullStr | Performance Analysis of Mixed Nakagami- <named-content content-type="math" xlink:type="simple"> <inline-formula> <tex-math notation="TeX">$m$</tex-math></inline-formula></named-content> and Gamma–Gamma Dual-Hop FSO Transmission Systems |
| title_full_unstemmed | Performance Analysis of Mixed Nakagami- <named-content content-type="math" xlink:type="simple"> <inline-formula> <tex-math notation="TeX">$m$</tex-math></inline-formula></named-content> and Gamma–Gamma Dual-Hop FSO Transmission Systems |
| title_short | Performance Analysis of Mixed Nakagami- <named-content content-type="math" xlink:type="simple"> <inline-formula> <tex-math notation="TeX">$m$</tex-math></inline-formula></named-content> and Gamma–Gamma Dual-Hop FSO Transmission Systems |
| title_sort | performance analysis of mixed nakagami named content content type math xlink type simple inline formula tex math notation tex m tex math inline formula named content and gamma x2013 gamma dual hop fso transmission systems |
| topic | Free-space optics (FSO) mixed RF/FSO systems Nakagami-m fading atmospheric turbulence pointing errors outage probability (OP) |
| url | https://ieeexplore.ieee.org/document/6987241/ |
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